405751463040 has 2048 divisors, whose sum is σ = 1865493504000. Its totient is φ = 72336015360.

The previous prime is 405751463017. The next prime is 405751463053. The reversal of 405751463040 is 40364157504.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 405751463040.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1384817134 + ... + 1384817426.

It is an arithmetic number, because the mean of its divisors is an integer number (910885500).

Almost surely, 2^405751463040 is an apocalyptic number.

405751463040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405751463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932746752000).

405751463040 is an abundant number, since it is smaller than the sum of its proper divisors (1459742040960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

405751463040 is a wasteful number, since it uses less digits than its factorization.

405751463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 405751463040 in words is "four hundred five billion, seven hundred fifty-one million, four hundred sixty-three thousand, forty".